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Two numbers are in the ratio 7 : 9. If the sum of the numbers is 112, then the larger number is:
  • a)
    49;
  • b)
    72;
  • c)
    63;
  • d)
    42
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Two numbers are in the ratio 7 : 9. If the sum of the numbers is 112, ...
Two numbers are in the ratio 7 : 9. If the sum of the numbers is 112, then the larger number is:
First, let's find the total parts in the ratio (7 + 9 = 16 parts).
Since the sum of the numbers is 112 and there are 16 parts in total, each part represents 
112/16=7
So, the larger number (which has 9 parts) is 
9x7=63
Therefore, the answer is (c) 63.
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Community Answer
Two numbers are in the ratio 7 : 9. If the sum of the numbers is 112, ...

Given Information:
- Two numbers are in the ratio 7:9
- The sum of the numbers is 112

Calculating the Numbers:
Let the numbers be 7x and 9x, as they are in the ratio 7:9
According to the given information,
7x + 9x = 112
16x = 112
x = 7

Therefore, the numbers are 7x = 7*7 = 49 and 9x = 9*7 = 63

Finding the Larger Number:
- The larger number among the two is 63, which is the second number obtained by multiplying x with 9.

Therefore, the larger number is 63, which corresponds to option 'C'.
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Two numbers are in the ratio 7 : 9. If the sum of the numbers is 112, then the larger number is:a)49;b)72;c)63;d)42Correct answer is option 'C'. Can you explain this answer?
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